| LDR | | 00000nam u2200205 4500 |
| 001 | | 000000431730 |
| 005 | | 20200224104531 |
| 008 | | 200131s2019 ||||||||||||||||| ||eng d |
| 020 | |
▼a 9781392318300 |
| 035 | |
▼a (MiAaPQ)AAI13917897 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a deForest, Russ. |
| 245 | 10 |
▼a Cross-diffusive Instabilities and Aggregation in Partial Differential Equation Models of Interacting Populations. |
| 260 | |
▼a [S.l.]:
▼b The Pennsylvania State University.,
▼c 2019. |
| 260 | 1 |
▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
| 300 | |
▼a 143 p. |
| 500 | |
▼a Source: Dissertations Abstracts International, Volume: 80-12, Section: B. |
| 500 | |
▼a Publisher info.: Dissertation/Thesis. |
| 500 | |
▼a Advisor: Belmonte, Andrew. |
| 502 | 1 |
▼a Thesis (Ph.D.)--The Pennsylvania State University, 2019. |
| 520 | |
▼a We propose several systems of quasilinear partial differential equations as spatial models of interacting biological populations. The key distinctive feature present in each model is a negative self-diffusivity in one of the populations. Despite the presence of negative self-diffusion, under our assumptions the resulting models correspond to normally parabolic systems or degenerate limiting cases of normally parabolic systems.We consider a spatial predator-prey model and show the existence of a cross-diffusive instability leading to spatial patterning. Numerical examples are given in one and two dimensions. Our model demonstrates a mechanism by which prey aggregate in response to predators, potentially reducing their individual risk of predation.We also consider several specific spatial models of polymorphic populations with both a cooperative and exploitative type in a nonlinear public goods game. Each phenotype is represented by a density and the fitness of each type depends locally on the density of all types. We demonstrate conditions for the existence of a cross-diffusive instability, leading to pattern formation and the advantageous aggregation of the cooperative type. |
| 590 | |
▼a School code: 0176. |
| 650 | 4 |
▼a Mathematics. |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a The Pennsylvania State University.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertations Abstracts International
▼g 80-12B. |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0176 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2019 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15492595
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
| 980 | |
▼a 202002
▼f 2020 |
| 990 | |
▼a ***1008102 |
| 991 | |
▼a E-BOOK |